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Research Article
 

Norm Ratios and Anisotropy Degree



Fae`q A.A. Radwan
 
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ABSTRACT

Decomposition of elastic constant tensor into irreducible parts is given. Elastic constant tensor norm and norm ratios for various anisotropic materials of the same or different symmetry are calculated. The norm of a tensor is used as criterion for comparing the overall effect of the properties of anisotropic materials and the norm ratios are used as criterion to represent the anisotropy degree of the properties of materials.

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  How to cite this article:

Fae`q A.A. Radwan , 2001. Norm Ratios and Anisotropy Degree. Journal of Applied Sciences, 1: 301-304.

DOI: 10.3923/jas.2001.301.304

URL: https://scialert.net/abstract/?doi=jas.2001.301.304

REFERENCES
Akgoz, Y.C., J.M. Farley and G.A. Sanunders, 1973. The elastic behaviour of InBi single crystals. J. Phys. Chem. Solids, 34: 141-149.
Direct Link  |  

Ashman, R.B., S.C. Cowin, W.C. van Buskirk and J.C. Rice, 1984. A continuous wave technique for the measurement of the elastic properties of cortical bone. J. Biomech., 17: 349-361.
Direct Link  |  

Bhagvantam, S., 1959. Crystal Symmetry and Physical Properties. Acadmic Press, London, UK., pp: 134-136.

Butabaev, S.M. and Y.I. Sirotin, 1973. Anisotropy in crystal physical properties represented by surface of rotation. Soviet Phys. Crystallogr., 17: 1037-1040.

Christensen, N.I. and R. Ramananantoandros, 1971. Elastic moduli and anisotropy of dunite to 10 kilobars. J. Geophys. Res., 76: 4003-4010.
Direct Link  |  

Chung, D.H. and W.R. Buessem, 1967. The elastic anisotropy of crystals. J. Applied Phys., 38: 2010-2012.
CrossRef  |  Direct Link  |  

Cowin, S.C. and C.W. van Buskirk, 1986. Thermodynamics restrictions on the elastic constants of bone. J. Biomech., 19: 85-87.
Direct Link  |  

Fraijs, B.M. and A. de Veubeke, 1979. A Course in Elasticity. Springer-Verlage, Berlin, pp: 114.

Heine, V., 1960. Group theory in Quantum Mechanics. Pergamon Press, Oxford, pp: 308.

Huntington, H.B., 1958. The Elastic Contants of Crystals. Academic Press Inc., San Diego, pp: 67-71.

Jerphagnon, J., D.S. Chelma and R. Bonnevlle, 1978. The description of condensed matter using irreducible tensors. Adv. Phys., 11: 1003-1017.

Kittel, C., 1976. Introdeuction to Solid State Physics. 5th Edn., John Wiley and Sons Inc., New York, pp: 95-210.

Landau, L.D. and E.M. Lifshits, 1959. Theory of Elasticity. Pergamon Press, London, Oxford, pp: 11.

Martin, R., 1970. Elastic properties of ZnS structure semiconductors. Phys. Rev. B, 1: 4005-4011.
Direct Link  |  

Meister, R. and L. Peseinich, 1966. Variational method of determing effective moduli of polcrystals with tetragonal symmetry. J. Applied Phys., 37: 4121-4125.
Direct Link  |  

Nye, J.F., 1964. Physical Properties of Crystals: Their Representation by Tensor and Matrices. Oxford University Press, Oxford, pp: 131-149.

Omar, M.A., 1975. Elememtary Solid State Physics. Adison Wesley Publishing Co., Reading, MA.

Papadakis, E.P., 1964. Ultrasonic study of simulated crystal symmetries in polycrystalline aggregated. IEEE Trans. Sonics Ultrasonics, 11: 19-29.
Direct Link  |  

Schouten, J.A., 1954. Tensor Analysis for Pysciists. Clarenden Press, Oxford, pp: 157.

Teodosio, C., 1982. Elastic Model of Crystal Defects. Springer-Verlag, Berlin, pp: 57.

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